Abstract: To solve the problem of acceleration performance degradation of aging engine, a model predictive control method with varying surge margin constraint is proposed. The acceleration process was divided into three stages according to the acceleration characteristics of the deteriorate engine, and different surge margin constraints were adopted at different acceleration stages. Considering that the model predictive control could handle constraints explicitly and adopt on-line receding horizon optimization to obtain the optimal control input, the model predictive control method was adopted in controller design. The alternating direction method of multipliers was used to solve the optimization problem for its high real-time performance. The acceleration performance recovery of the degraded engine was achieved. Digital simulation results show that the time consuming in acceleration is reduced by more than 35% compared with that of the degraded engine after using the acceleration performance recovery control method.

Key words: Aero-engine;Acceleration performance;Performance deterioration;Model predictive control;Variable surge margin constraint

摘要： 针对退化发动机加速性能下降的现象，提出一种变喘振裕度约束的模型预测控制方法。通过分析退化发动机在加速过程中的工作特点，将加速过程分为三个阶段，在不同阶段采取不同的喘振裕度约束。鉴于模型预测控制能够显式处理约束、采用在线滚动优化来获取最优控制输入，采取模型预测控制方法，并采用具有较高实时性的交替方向乘子法求解优化问题，实现了退化发动机加速性能的恢复。数字仿真结果表明，采用本文所提出的加速性能恢复控制方法后，相比退化发动机，加速过程中所耗费的时间缩短了35%以上。

关键词: 航空发动机;加速性能;性能退化;模型预测控制;变喘振裕度约束